Thread: Kite....

P and Q are 2 distinct points in the interior of the square ABCD such that AP =Aq and angle BAP is congruent to angle DAQ.Show that APCQ is a KITE

Originally Posted by anshulbshah

P and Q are 2 distinct points in the interior of the square ABCD such that AP =Aq and angle BAP is congruent to angle DAQ.Show that APCQ is a KITE

To show it's a kite, you need to show that AP = AQ and PC = QC.

That's because a kite has two pairs of adjacent sides that are the same.

You already have that AP = AQ, all you need to do then is show PC = QC, which can be done with straightforward geometry. Draw it and you'll find the figure you have is mirror-symmetrical in the diagonal AC.

Originally Posted by Matt Westwood

To show it's a kite, you need to show that AP = AQ and PC = QC.

That's because a kite has two pairs of adjacent sides that are the same.

You already have that AP = AQ, all you need to do then is show PC = QC, which can be done with straightforward geometry. Draw it and you'll find the figure you have is mirror-symmetrical in the diagonal AC.

Thank you Matt Westwood,But could please tell me the method to write....
Anshul

Originally Posted by anshulbshah

Thank you Matt Westwood,But could please tell me the method to write....
Anshul

Not sure I can do that. I don't know how you've been taught to present your work.